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Finite element (FE) modeling is essential for structural analysis but remains computationally intensive, especially under dynamic loading. While operator learning models have shown promise in replicating static structural responses at FEM…

Machine Learning · Computer Science 2025-05-13 Bilal Ahmed , Yuqing Qiu , Diab W. Abueidda , Waleed El-Sekelly , Tarek Abdoun , Mostafa E. Mobasher

Operator learning for complex nonlinear systems is increasingly common in modeling multi-physics and multi-scale systems. However, training such high-dimensional operators requires a large amount of expensive, high-fidelity data, either…

Numerical Analysis · Mathematics 2023-11-22 Amanda A. Howard , Mauro Perego , George E. Karniadakis , Panos Stinis

The Li-ion battery is a complex physicochemical system that generally takes applied current as input and terminal voltage as output. The mappings from current to voltage can be described by several kinds of models, such as accurate but…

Computational Physics · Physics 2023-12-05 Qiang Zheng , Xiaoguang Yin , Dongxiao Zhang

In this paper, we consider the design of model predictive control (MPC) algorithms based on deep operator neural networks (DeepONets). These neural networks are capable of accurately approximating real and complex valued solutions of…

Optimization and Control · Mathematics 2025-05-26 Thomas Oliver de Jong , Khemraj Shukla , Mircea Lazar

This work presents a comparative study of existing and new techniques to detect knee injuries by leveraging Stanford's MRNet Dataset. All approaches are based on deep learning and we explore the comparative performances of transfer learning…

Image and Video Processing · Electrical Eng. & Systems 2020-10-06 David Azcona , Kevin McGuinness , Alan F. Smeaton

The deep operator network (DeepONet) is a popular neural operator architecture that has shown promise in solving partial differential equations (PDEs) by using deep neural networks to map between infinite-dimensional function spaces. In the…

Machine Learning · Computer Science 2025-02-25 Luis Mandl , Somdatta Goswami , Lena Lambers , Tim Ricken

Millions of people are affected by acute and chronic wounds yearly across the world. Continuous wound monitoring is important for wound specialists to allow more accurate diagnosis and optimization of management protocols. Machine…

Computer Vision and Pattern Recognition · Computer Science 2021-03-03 Behrouz Rostami , Jeffrey Niezgoda , Sandeep Gopalakrishnan , Zeyun Yu

Deep neural operators, such as DeepONets, have changed the paradigm in high-dimensional nonlinear regression from function regression to (differential) operator regression, paving the way for significant changes in computational engineering…

Numerical simulation for climate modeling resolving all important scales is a computationally taxing process. Therefore, to circumvent this issue a low resolution simulation is performed, which is subsequently corrected for bias using…

Atmospheric and Oceanic Physics · Physics 2023-02-08 Aniruddha Bora , Khemraj Shukla , Shixuan Zhang , Bryce Harrop , Ruby Leung , George Em Karniadakis

We propose Deep-Motion-Net: an end-to-end graph neural network (GNN) architecture that enables 3D (volumetric) organ shape reconstruction from a single in-treatment kV planar X-ray image acquired at any arbitrary projection angle.…

Computer Vision and Pattern Recognition · Computer Science 2024-07-10 Isuru Wijesinghe , Michael Nix , Arezoo Zakeri , Alireza Hokmabadi , Bashar Al-Qaisieh , Ali Gooya , Zeike A. Taylor

Fiber reinforcement and polymer matrix respond differently to manufacturing conditions due to mismatch in coefficient of thermal expansion and matrix shrinkage during curing of thermosets. These heterogeneities generate residual stresses…

Computational Engineering, Finance, and Science · Computer Science 2026-05-04 Elham Kiyani , Amit Makarand Deshpande , Madhura Limaye , Zhiwei Gao , Zongren Zou , Sai Aditya Pradeep , Srikanth Pilla , Gang Li , Zhen Li , George Em Karniadakis

Deep learning for predicting or generating 3D human pose sequences is an active research area. Previous work regresses either joint rotations or joint positions. The former strategy is prone to error accumulation along the kinematic chain,…

Computer Vision and Pattern Recognition · Computer Science 2018-08-02 Dario Pavllo , David Grangier , Michael Auli

The global burden of acute and chronic wounds presents a compelling case for enhancing wound classification methods, a vital step in diagnosing and determining optimal treatments. Recognizing this need, we introduce an innovative…

Computer Vision and Pattern Recognition · Computer Science 2023-08-25 Yash Patel , Tirth Shah , Mrinal Kanti Dhar , Taiyu Zhang , Jeffrey Niezgoda , Sandeep Gopalakrishnan , Zeyun Yu

In the realm of computational science and engineering, constructing models that reflect real-world phenomena requires solving partial differential equations (PDEs) with different conditions. Recent advancements in neural operators, such as…

Quantum Physics · Physics 2025-06-11 Pengpeng Xiao , Muqing Zheng , Anran Jiao , Xiu Yang , Lu Lu

In high-speed flow past a normal shock, the fluid temperature rises rapidly triggering downstream chemical dissociation reactions. The chemical changes lead to appreciable changes in fluid properties, and these coupled multiphysics and the…

Computational Physics · Physics 2021-10-04 Zhiping Mao , Lu Lu , Olaf Marxen , Tamer A. Zaki , George E. Karniadakis

The rapid increment of morbidity of brain stroke in the last few years have been a driving force towards fast and accurate segmentation of stroke lesions from brain MRI images. With the recent development of deep-learning, computer-aided…

Image and Video Processing · Electrical Eng. & Systems 2021-10-25 Hritam Basak , Rukhshanda Hussain , Ajay Rana

Deep operator network (DeepONet) has shown significant promise as surrogate models for systems governed by partial differential equations (PDEs), enabling accurate mappings between infinite-dimensional function spaces. However, when applied…

Machine Learning · Computer Science 2025-10-29 Sharmila Karumuri , Lori Graham-Brady , Somdatta Goswami

Scientific computing using deep learning has seen significant advancements in recent years. There has been growing interest in models that learn the operator from the parameters of a partial differential equation (PDE) to the corresponding…

Machine Learning · Computer Science 2024-02-14 Sung Woong Cho , Jae Yong Lee , Hyung Ju Hwang

Wounds, such as foot ulcers, pressure ulcers, leg ulcers, and infected wounds, come up with substantial problems for healthcare professionals. Prompt and accurate segmentation is crucial for effective treatment. However, contemporary…

Image and Video Processing · Electrical Eng. & Systems 2024-08-22 Md. Zihad Bin Jahangir , Sumaiya Akter , MD Abdullah Al Nasim , Kishor Datta Gupta , Roy George

An important application of neural networks to scientific computing has been the learning of non-linear operators. In this framework, a neural network is trained to fit a non-linear map between two infinite dimensional spaces, for example,…

Machine Learning · Computer Science 2026-02-03 Shao-Ting Chiu , Aditya Nambiar , Ali Syed , Jonathan W. Siegel , Ulisses Braga-Neto
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